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Finding the Fourth Proportional to 23,517.52, 35,271 and 6,873.52

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Solution

The fourth proportional to 23,517.52, 35,271 and 6,873.52 is: 10,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.52 : 35,271 = 6,873.52 : x
  2. Step 2: Convert to fraction form
    23,517.52/35,271 = 6,873.52/x
  3. Step 3: Cross multiply
    23,517.52x = 35,271 × 6,873.52
  4. Step 4: Simplify right side
    23,517.52x = 242,435,923.92
  5. Step 5: Solve for x
    x = 242,435,923.92/23,517.52
  6. Step 6: Final answer
    x = 10,308.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.